(b) Given, $x = 80t - 16t^{2}$ $\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{dx}{dt} = 80 - 32t$ At maximum height$\frac{dx}{dt} = 0$ $\therefore\ \ \ t = 25s$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.